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Finding the Third Proportional to 252,866 and 537,914

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Solution

The third proportional to 252,866 and 537,914 is: 1,144,287.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,866 : 537,914 = 537,914 : x
  2. Step 2: Convert to fraction form
    252,866/537,914 = 537,914/x
  3. Step 3: Cross multiply
    252,866x = 537,914 × 537,914
  4. Step 4: Simplify right side
    252,866x = 289,351,471,396
  5. Step 5: Solve for x
    x = 289,351,471,396/252,866
  6. Step 6: Final answer
    x = 1,144,287.77

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.